Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-25T04:33:37.325Z Has data issue: false hasContentIssue false
  • English
  • Français

Inner function images of radii

Published online by Cambridge University Press:  24 October 2008

Walter Rudin
Walter Rudin
Affiliation:
University of Wisconsin, Madison, Wisconsin 53706, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Extract

The main result of the present paper is the construction of a very oscillatory inner function F in the unit disc. The existence of such an F leads to a certain extension of Fatou's classical theorem concerning the boundary behaviour of H∞-functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 2 , March 1979 , pp. 357 - 360
Copyright
Copyright © Cambridge Philosophical Society 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Collingwood, E. F. and Lohwater, A. J.The theory of cluster sets (Cambridge University Press, 1966).Google Scholar
(2)Forelli, F.The isometries of Hp. Canad. J. Math 16 (1964), 721–728.CrossRefGoogle Scholar
(3)Weyl, H.Über die Gleichverteilung von Zahlen mod Ems. Math. Ann 77 (1916), 313–352.Google Scholar